Circadian clock is an exquisite internal biological clock functioning in all living organisms. Lifestyle changes such as shift work or frequent traveling might result in malfunctioning of the central and consequently the peripheral clocks leading to different metabolic disorders. Disruptions in beta cell clock have been found to be a potential reason behind beta cell failure that makes a person prone towards developing Diabetes. In this study, a Petri Net model for beta cell circadian clock has been developed, followed by analysis of the negative impacts of sleep deprivation conditions on the process of Glucose Stimulated Insulin Secretion (GSIS) through misalignment of circadian clock. The modeled circadian system possesses a self sustained and robust mechanism that enables it to continuously evolve in response to different changes within an organism as well as external stimuli. The simulation results predict that sleep loss negatively affects the expression of circadian genes which then eventually leads to impaired GSIS and beta cell failure. These results suggests that proper sleep is a vital contributor for the entrainment of the circadian clock and normal functioning of beta cell.